Remarks on Finite-Energy Sum Rules

William C. Parke; Robert G. Ponzini; H. Thomas Williams

doi:10.1103/PhysRevD.1.134

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Remarks on Finite-Energy Sum Rules

William C. Parke^*

Robert G. Ponzini^*,† and H. Thomas Williams^*

George Washington University, Washington, D. C. 20006

National Bureau of Standards, Washington, D. C. 20234

^*National Research Council-National Bureau of Standards Postdoctoral Research Associate, 1967-1969.
^†Present address: Kaman Nuclear, Colorado Springs, Colo.

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Phys. Rev. D 1, 134 – Published 1 January, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.134

Abstract

Finite-energy sum rules with generalized weight functions are discussed with emphasis on methods for obtaining precise determination of high-energy parameters from low-energy data. Regge parameters for $t = 0$ $π N$ charge-exchange amplitudes are deduced as an example from a new sum rule.

References (12)

R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
M. G. Olsson, Phys. Letters 26B, 310 (1968)
Omitted endnote
R. Omnès and M. Froissart, Mandelstam Theory and Regge Poles (W. A. Benjamin, Inc., New York, 1963), Chap. 4
C. Schmid [Phys. Rev. Letters 20, 689 (1968)]
Omitted endnote
A. Donnachie, R. Kirsopp, and C. Lovelace, CERN Report No. Th. 838 addendum (unpublished) Citron et al., Phys. Rev. 144, 1101 (1966) A. D. Brody et al., Phys. Rev. Letters 22, 1401 (1969)
C. H. Chan and L. K. Chavda, Phys. Rev. Letters 22, 1228 (1969)
C. H. ChanL. K. ChavdaHandbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (U. S. Department of Commerce, National Bureau of Standards, Washington, D. C., 1964), Applied Mathematics Series 55, Chapter 8
R. Armenteros et al., Nucl. Phys. B8, 195 (1968) D. V. Bugg et al., Phys. Rev. 168, 1466 (1968) S. Goldhaber et al., Phys. Rev. Letters 9, 135 (1962) J. K. Kim, ibid. 19, 1074 (1967)
Omitted endnote
E. Ferrari and G. Violini, Phys. Letters 28B, 684 (1969)

[c1] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)

[c2] M. G. Olsson, Phys. Letters 26B, 310 (1968)

[c3] Omitted endnote

[c4] R. Omnès and M. Froissart, Mandelstam Theory and Regge Poles (W. A. Benjamin, Inc., New York, 1963), Chap. 4

[c5] C. Schmid [Phys. Rev. Letters 20, 689 (1968)]

[c6] Omitted endnote

[c7] A. Donnachie, R. Kirsopp, and C. Lovelace, CERN Report No. Th. 838 addendum (unpublished) Citron et al., Phys. Rev. 144, 1101 (1966) A. D. Brody et al., Phys. Rev. Letters 22, 1401 (1969)

[c8] C. H. Chan and L. K. Chavda, Phys. Rev. Letters 22, 1228 (1969)

[c9] C. H. ChanL. K. ChavdaHandbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (U. S. Department of Commerce, National Bureau of Standards, Washington, D. C., 1964), Applied Mathematics Series 55, Chapter 8

[c10] R. Armenteros et al., Nucl. Phys. B8, 195 (1968) D. V. Bugg et al., Phys. Rev. 168, 1466 (1968) S. Goldhaber et al., Phys. Rev. Letters 9, 135 (1962) J. K. Kim, ibid. 19, 1074 (1967)

[c11] Omitted endnote

[c12] E. Ferrari and G. Violini, Phys. Letters 28B, 684 (1969)

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Remarks on Finite-Energy Sum Rules

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